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Finding the Fourth Proportional to 562.74, 843.26 and 379.46

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Solution

The fourth proportional to 562.74, 843.26 and 379.46 is: 568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.74 : 843.26 = 379.46 : x
  2. Step 2: Convert to fraction form
    562.74/843.26 = 379.46/x
  3. Step 3: Cross multiply
    562.74x = 843.26 × 379.46
  4. Step 4: Simplify right side
    562.74x = 319,977.33
  5. Step 5: Solve for x
    x = 319,977.33/562.74
  6. Step 6: Final answer
    x = 568.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.